Dime Dimeski
12-18-2025, 11:43 PM
What do you think about my coordinates:
Macedonian_Simulated,0.129087,0.1489938,0.0266811,-0.0048719,0.0271307,-0.0020918,0.0002072,0.0051305,0.0033724,0.0075239, 0.0052349,-0.0009358,0.0020222,0.0014541,-0.0048069,-0.0004535,0.0031183,-0.0016165,-0.0016661,-0.000544,-0.0029094,-0.0007401,0.0019464,-0.001731,-0.0007664 Macedonian_Skopje_Simulated,0.1294111,0.1484511,0. 02611,-0.0027145,0.0274775,-0.0012102,0.0015435,0.0063986,0.0011405,0.0056471, 0.0062678,-0.0001948,0.0022129,0.0020845,-0.0062462,-0.002667,0.0019584,-0.0011249,-0.0008641,-0.00107,-0.0040506,-0.0009942,0.0021432,-0.0010258,-0.0004848 Macedonian_Northeast_Simulated,0.1303002,0.1477492 ,0.0296236,0.0024764,0.0272429,0.0008668,0.0022497 ,0.0071706,0.0009023,0.0050785,0.0051968,-0.000039,0.0014601,0.0017602,-0.0057345,-0.0051891,0.0000623,-0.0007388,-0.0009611,-0.0013274,-0.0043152,-0.0007033,0.001335,-0.0007117,0.0009667 Macedonian_East_Simulated,0.1285553,0.1459225,0.03 09144,-0.0018901,0.0282536,-0.000935,0.0002202,0.0041118,0.0037086,0.0076921,0 .0029764,-0.0018961,0.0009563,0.0019054,-0.0067566,0.0024796,0.009779,-0.0008268,-0.0008968,0.0005083,-0.0033707,0.000505,0.0026898,-0.0011889,-0.001775 Macedonian_Southeast_Simulated,0.1278801,0.1484429 ,0.0234932,-0.0080124,0.0263873,-0.0045438,-0.0002723,0.004626,0.0031608,0.0071988,0.0051291,-0.0011819,0.0024961,0.0022997,-0.0050496,0.000305,0.0021033,-0.0019894,-0.0013848,-0.0010414,-0.0027974,-0.000062,0.0019769,-0.0018692,-0.0005948 Macedonian_Vardar_Simulated,0.1309959,0.1518769,0. 0256597,-0.0071726,0.0254275,-0.001573,-0.0004528,0.0046745,0.0025872,0.0069904,0.0063003,-0.0006665,0.00225,0.0000546,-0.0023845,-0.0008529,0.0005202,-0.0022696,-0.0029295,-0.0004402,-0.0019504,-0.0015275,0.0015198,-0.0020841,-0.0003178 Macedonian_Polog_Simulated,0.129886,0.1488922,0.02 79298,-0.0031365,0.0281222,-0.0015236,0.0005527,0.0050094,0.0028407,0.0071482, 0.0067893,-0.0004112,0.0026865,0.0026946,-0.0060464,-0.0022791,0.0013124,-0.001722,-0.0018412,-0.0016748,-0.003706,-0.0019671,0.0018545,-0.0027332,-0.0011678 Macedonian_Southwest_Simulated,0.1292582,0.1497615 ,0.024172,-0.0076316,0.0283086,-0.0042986,-0.0005041,0.0056835,0.0054351,0.0091046,0.0068983,-0.0009034,0.0030348,0.0010548,-0.0038858,-0.0013693,0.0007675,-0.0024115,-0.0028981,-0.0003854,-0.0021088,-0.0016899,0.0015271,-0.0023799,-0.0004903 Macedonian_Pelagonia_Simulated,0.1281059,0.1517776 ,0.0235866,-0.00752,0.0255981,-0.0024591,0.0002928,0.005636,0.0035652,0.0083274,0 .0054984,-0.0002955,0.0020358,0.0005331,-0.0028377,-0.0004209,0.000715,-0.0018076,-0.0014437,-0.0009539,-0.0024014,-0.001287,0.0019021,-0.0019845,-0.0010085 Macedonian_Torbesh_Simulated,0.123801,0.1481243,0. 0216143,-0.0149139,0.0254883,-0.0062743,-0.0003694,0.0033484,0.0043872,0.0139133,0.0051981, 0.000429,-0.0000371,-0.0000347,-0.0091908,0.001193,0.0066232,-0.0021609,-0.0004022,-0.0019293,-0.0047602,-0.001767,0.0033767,-0.0013867,-0.0034324
Macedonian_North_Skopje_Simulated,0.1294111,0.1484 511,0.02611,-0.0027145,0.0274775,-0.0012102,0.0015435,0.0063986,0.0011405,0.0056471, 0.0062678,-0.0001948,0.0022129,0.0020845,-0.0062462,-0.002667,0.0019584,-0.0011249,-0.0008641,-0.00107,-0.0040506,-0.0009942,0.0021432,-0.0010258,-0.0004848
Macedonian_Northeast_Kumanovo_Simulated,0.1301293, 0.147787,0.0299453,0.0050813,0.0278927,0.0018887,0 .0032153,0.0080927,-0.0000893,0.004768,0.0043973,0.0006383,0.0007383,0 .002155,-0.0065433,-0.007759,-0.001497,0.0001053,-0.0000647,-0.0019487,-0.0052463,-0.000335,0.0009883,0.0000837,0.0018217
Macedonian_Northeast_Kriva_Palanka_Simulated,0.130 349,0.1477384,0.0295317,0.0017322,0.0270572,0.0005 748,0.0019738,0.0069072,0.0011856,0.0051672,0.0054 252,-0.0002325,0.0016664,0.0016474,-0.0055034,-0.0044548,0.0005078,-0.00098,-0.0012172,-0.0011499,-0.0040492,-0.0008086,0.001434,-0.0009389,0.0007224
Macedonian_Northeast_Kratovo_Simulated,0.1304222,0 .1477223,0.0293938,0.0006158,0.0267787,0.0001368,0 .0015599,0.006512,0.0016106,0.0053002,0.0057678,-0.0005228,0.0019757,0.0014781,-0.0051568,-0.0033534,0.001176,-0.0013418,-0.0016014,-0.0008836,-0.0036502,-0.0009664,0.0015826,-0.0012798,0.000356
Macedonian_East_Probishtip_Simulated,0.1297543,0.1 475047,0.0301385,-0.0025498,0.0271963,-0.0012398,0.0000526,0.0044575,0.003285,0.0071802,0 .0044526,-0.0014566,0.0015336,0.0013339,-0.005364,0.0010792,0.0064032,-0.0014638,-0.0016496,0.0001466,-0.0029672,-0.0004056,0.0022848,-0.0016106,-0.001164
Macedonian_East_Shtip_Simulated,0.129623,0.1474192 ,0.0309835,-0.0010504,0.027646,-0.0015291,0.0005444,0.0052006,0.0037106,0.0065054, 0.0048126,-0.0017069,0.0021444,0.0014148,-0.0051595,0.0012058,0.0060219,-0.0016199,-0.0016346,0.0003245,-0.0029661,-0.000484,0.0022524,-0.0015568,-0.0010306
Macedonian_East_Kochani_Simulated,0.1298301,0.1450 562,0.0318664,-0.000662,0.0294482,-0.0003073,0.0000689,0.0044675,0.003345,0.006867,0. 0038139,-0.0018658,0.0014266,0.0014483,-0.0062516,0.0010951,0.0076366,-0.000526,-0.0016064,0.0004821,-0.0028324,0.0009061,0.002356,-0.0013154,-0.0023251
Macedonian_East_Vinica_Simulated,0.1297242,0.14438 21,0.0315884,-0.0014662,0.0296258,0.0001326,-0.0002809,0.003789,0.0030385,0.00742,0.0031419,-0.0018462,0.0008321,0.0015629,-0.0069266,0.0012627,0.0088791,-0.0000885,-0.0014373,0.0004772,-0.0028996,0.0014046,0.0024843,-0.0011889,-0.0027776
Macedonian_East_Makedonska_Kamenica_Simulated,0.12 96184,0.1437081,0.0313105,-0.0022703,0.0298034,0.0005726,-0.0006307,0.0031105,0.002732,0.007973,0.00247,-0.0018266,0.0002375,0.0016774,-0.0076015,0.0014304,0.0101215,0.000349,-0.0012681,0.0004724,-0.0029668,0.001903,0.0026127,-0.0010625,-0.00323
Macedonian_East_Delchevo_Simulated,0.1295125,0.143 034,0.0310325,-0.0030745,0.029981,0.0010125,-0.0009805,0.002432,0.0024255,0.008526,0.001798,-0.001807,-0.000357,0.001792,-0.0082765,0.001598,0.011364,0.0007865,-0.001099,0.0004675,-0.003034,0.0024015,0.002741,-0.000936,-0.0036825
Macedonian_East_Pehchevo_Simulated,0.1248517,0.147 1482,0.0303052,-0.0021035,0.0265015,-0.0028113,0.0015005,0.0043518,0.0053325,0.0086303, 0.0010365,-0.0026282,0.0007035,0.0034652,-0.0083678,0.0065237,0.015725,-0.0014813,0.0011738,0.0010412,-0.0048303,-0.0001303,0.0036145,-0.0005438,-0.000559
Macedonian_East_Berovo_Simulated,0.1255285,0.14912 75,0.03009,-0.001944,0.0258265,-0.0033105,0.001487,0.0050855,0.0058,0.008435,0.002 2855,-0.0020315,0.0011295,0.0025485,-0.006105,0.005642,0.012081,-0.0025705,0.0003465,0.000655,-0.004469,-0.0015555,0.0031725,-0.0012975,0.0005685
Macedonian_Southeast_Radovish_Simulated,0.1283914, 0.1487591,0.0242446,-0.007136,0.0269009,-0.0041968,-0.0003416,0.0050206,0.0036163,0.0073843,0.0056854,-0.0011513,0.0026968,0.0016856,-0.0045008,-0.000198,0.0018048,-0.002115,-0.0020491,-0.0006173,-0.0025906,-0.0005347,0.0017618,-0.0020394,-0.0005696
Macedonian_Southeast_Strumica_Simulated,0.1280148, 0.1484938,0.0233352,-0.0079315,0.0264083,-0.0045364,-0.0003055,0.0047843,0.0031714,0.007164,0.0053926,-0.0011438,0.0026162,0.0019876,-0.0046718,0.00005,0.0017104,-0.0020604,-0.001707,-0.0009006,-0.0026668,-0.0002802,0.0018504,-0.0019687,-0.0005608
Macedonian_Southeast_Valandovo_Simulated,0.1279948 ,0.1487187,0.0235774,-0.0080094,0.0266484,-0.0045416,-0.000362,0.004729,0.0034469,0.0074277,0.0053312,-0.0011501,0.0025658,0.002199,-0.0049751,0.0000865,0.001913,-0.0020493,-0.0015668,-0.0009662,-0.002748,-0.0001814,0.0019086,-0.0019317,-0.0005708
Macedonian_Southeast_Gevgelija_Simulated,0.127308, 0.1482222,0.0233364,-0.0087574,0.02609,-0.0047892,-0.0001895,0.0040806,0.0029312,0.0072212,0.0042986,-0.001268,0.0021455,0.0032997,-0.0061462,0.0010777,0.0030245,-0.0017836,-0.000358,-0.0015807,-0.0031799,0.0006497,0.0023507,-0.0015776,-0.0006716
Macedonian_Southeast_Bogdanci_Simulated,0.1276915, 0.1480207,0.0229723,-0.0082276,0.025889,-0.0046549,-0.0001628,0.0045154,0.002638,0.006797,0.0049377,-0.0011963,0.0024564,0.0023266,-0.0049541,0.000509,0.0020636,-0.0019387,-0.0012429,-0.0011423,-0.0028016,0.0000365,0.0020132,-0.0018286,-0.0006011
Macedonian_Vardar_Sveti_Nikole_Simulated,0.130511, 0.1495633,0.0281969,-0.0039421,0.0255235,-0.0013175,0.0003034,0.0047756,0.0021156,0.0072041, 0.0050109,-0.0000592,0.0005421,-0.0003738,-0.0024126,-0.000642,0.0018745,-0.0021067,-0.0026759,-0.0007469,-0.002222,-0.001639,0.0016071,-0.0023857,-0.0003522
Macedonian_Vardar_Veles_Simulated,0.130807,0.15027 8,0.027268,-0.004906,0.024816,-0.001247,0.000223,0.004634,0.001584,0.007437,0.005 077,0.000490,0.000008,-0.000970,-0.001497,-0.001258,0.000492,-0.002269,-0.003023,-0.001104,-0.001974,-0.002024,0.001392,-0.002662,-0.000126
Macedonian_Vardar_Kavadarci_Simulated,0.130698,0.1 51925,0.022937,-0.010904,0.025323,-0.002010,-0.001039,0.004466,0.002101,0.007591,0.006930,-0.000576,0.002391,0.000285,-0.003233,-0.001351,0.001009,-0.002727,-0.003635,-0.000808,-0.002398,-0.002084,0.001765,-0.003144,-0.000193
Macedonian_Vardar_Negotino_Simulated,0.1310975,0.1 5228,0.0244306,-0.0083891,0.0255032,-0.0014967,-0.0005166,0.0048867,0.0020892,0.0063137,0.0070984,-0.0009435,0.0029978,0.0004357,-0.0029198,-0.0010673,0.0005793,-0.0025271,-0.0033105,-0.0005133,-0.00221,-0.0016857,0.0016717,-0.0025496,-0.000324
Macedonian_Vardar_Demir_Kapija_Simulated,0.131866, 0.155338,0.025466,-0.007722,0.025972,-0.001794,-0.001235,0.004610,0.005046,0.006406,0.007385,-0.002244,0.005311,0.000896,-0.001860,0.000054,-0.001354,-0.001718,-0.002003,0.000971,-0.000948,-0.000205,0.001163,0.000321,-0.000594
Macedonian_Northwest_Polog_Tetovo_Simulated,0.1301 122,0.148812,0.0283336,-0.0027675,0.0282096,-0.001167,0.0009624,0.0052664,0.0025354,0.0070302,0 .006745,-0.000327,0.0026366,0.0028723,-0.0063335,-0.0024356,0.0013388,-0.0016366,-0.001736,-0.001818,-0.0039025,-0.0020686,0.0019064,-0.0028052,-0.001248
Macedonian_Northwest_Polog_Gostivar_Simulated,0.12 96598,0.1489725,0.0275261,-0.0035055,0.0280349,-0.0018802,0.000143,0.0047523,0.003146,0.0072663,0. 0068336,-0.0004954,0.0027364,0.0025169,-0.0057594,-0.0021226,0.0012861,-0.0018073,-0.0019463,-0.0015315,-0.0035094,-0.0018656,0.0018026,-0.0026611,-0.0010876
Macedonian_West_Makedonski_Brod_Simulated,0.128755 ,0.1492934,0.0259112,-0.0049814,0.0276854,-0.0033065,-0.0014957,0.0037242,0.0043671,0.0077386,0.0070108,-0.0008322,0.002936,0.0018061,-0.0046113,-0.0014966,0.0011808,-0.0021488,-0.002367,-0.0009584,-0.0027232,-0.0014596,0.0015949,-0.0023729,-0.0007669
Macedonian_West_Kichevo_Simulated,0.1297913,0.1521 032,0.0228786,-0.0031475,0.0278742,-0.0049945,0.0009562,0.0060904,0.0031986,0.0074764, 0.0058002,-0.0003174,0.0015446,0.0000974,-0.0017662,-0.0007194,0.0000256,-0.0022323,-0.0025993,-0.0008086,-0.0016506,-0.0013914,0.0011838,-0.0021744,-0.0009364
Macedonian_West_Debar_Simulated,0.129291,0.1519577 ,0.024903,-0.011953,0.0290103,-0.0053093,-0.0009957,0.0076373,0.0101737,0.0103603,0.0083807,-0.0027343,0.0066883,0.0011277,-0.0040777,-0.0009593,-0.0002243,-0.002476,-0.0031557,0.0014467,-0.0015537,-0.001159,0.0014487,-0.001253,-0.0004067
Macedonian_West_Pelagonia_Krushevo_Simulated,0.128 2856,0.1516239,0.0233593,-0.0054302,0.0269912,-0.0033127,0.0008878,0.0057133,0.003347,0.0079612,0 .0055471,-0.0002603,0.001683,0.0010233,-0.0030625,-0.0006682,0.0007132,-0.0018241,-0.0016036,-0.0013122,-0.0023065,-0.0011139,0.0014985,-0.0019371,-0.0009742
Macedonian_Southwest_Struga_Simulated,0.129499,0.1 46389,0.023875,-0.010253,0.030136,-0.004561,-0.001284,0.005556,0.005753,0.010842,0.007447,-0.000544,0.002525,0.000575,-0.004629,-0.002283,0.001660,-0.003043,-0.003961,-0.000565,-0.002567,-0.002381,0.001886,-0.003412,0.000037
Macedonian_Southwest_Ohrid_Simulated,0.1289549,0.1 490643,0.0232924,-0.0078229,0.0268372,-0.0033219,0.0002988,0.0054096,0.0036829,0.0091056, 0.0058529,-0.0000889,0.0014801,0.001668,-0.0043446,-0.0013884,0.0011952,-0.0021576,-0.0024075,-0.0010417,-0.0020496,-0.0020587,0.001522,-0.0026872,-0.0003784
Macedonian_Southwest_Pelagonia_Prespa_Simulated,0. 129126,0.150211,0.023207,-0.008585,0.024318,-0.002273,0.000347,0.005662,0.003129,0.008369,0.005 339,-0.000205,0.001440,-0.000746,-0.001567,-0.000857,0.000014,-0.002187,-0.002937,-0.000521,-0.001666,-0.001714,0.001318,-0.002112,-0.000148
Macedonian_Southwest_Pelagonia_Bitola_Simulated,0. 126931,0.150025,0.0243387,-0.0079873,0.023926,-0.0011407,-0.0007117,0.0044367,0.003099,0.0086297,0.004999,0. 0001813,0.0022787,0.0018767,-0.0048323,0.0003877,0.0023007,-0.0010267,0.0018053,-0.0016863,-0.0039813,-0.0010457,0.0036333,-0.0018317,-0.002424
Macedonian_Southwest_Pelagonia_Prilep_Simulated,0. 128262,0.155215,0.023472,-0.009103,0.026339,-0.002802,0.000331,0.006734,0.004742,0.008504,0.006 092,-0.000914,0.002856,-0.000539,-0.001479,-0.000463,-0.000321,-0.002271,-0.003227,0.000007,-0.001550,-0.001449,0.001283,-0.002124,-0.000407
Macedonian_Southwest_Pelagonia_Demir_Hisar_Simulat ed,0.1279251,0.151813,0.0235559,-0.0064943,0.0264162,-0.0027672,0.0006097,0.0056342,0.003509,0.0081732,0 .005515,-0.0002796,0.0019214,0.0010504,-0.0032478,-0.0005042,0.0008683,-0.0017292,-0.001256,-0.001257,-0.0025032,-0.0011126,0.0017778,-0.0019176,-0.0010892
Macedonian_Florina_Simulated,0.132061,0.151932,0.0 25772,-0.005481,0.024305,0.001115,0.004217,0.005689,-0.000821,0.007392,0.005212,0.001087,0.002406,0.003 874,-0.004812,0.000295,0.006928,0.001001,0.003582,-0.001641,-0.003681,-0.000526,0.004127,-0.000844,-0.002981
Macedonian_Torbesh_Simulated,0.123801,0.1481243,0. 0216143,-0.0149139,0.0254883,-0.0062743,-0.0003694,0.0033484,0.0043872,0.0139133,0.0051981, 0.000429,-0.0000371,-0.0000347,-0.0091908,0.001193,0.0066232,-0.0021609,-0.0004022,-0.0019293,-0.0047602,-0.001767,0.0033767,-0.0013867,-0.0034324
Balto_Slavic,0.1304588,0.1257191,0.072219,0.056103 6,0.0381718,0.0218909,0.008108,0.0115526,0.0023048 ,-0.0165642,-0.000067,-0.005629,0.011202,0.0164878,-0.0093543,0.0005452,0.0028027,0.0005556,0.0013039, 0.0019853,0.000127,-0.0025254,0.0059456,-0.0076607,-0.0020462
Eastern_Roman_Anatolian,0.1073731,0.1481632,-0.0318813,-0.0632749,-0.0014046,-0.0231908,0.0001687,-0.0052069,-0.0072632,0.018303,0.0043595,0.0033508,-0.0056643,0.0032042,-0.0141531,-0.0030666,0.0056132,0.0007277,0.0049216,-0.0047843,-0.0031803,0.002622,-0.0017634,-0.0007879,-0.0014277
Paleo_Balkan,0.1263202,0.1475728,0.0222618,-0.0180711,0.0276163,-0.0079778,0.0007648,0.0004037,0.003973,0.0277402,0 .0024898,0.0070693,-0.014563,-0.0051482,-0.0110118,-0.0012025,0.0053255,0.0004367,0.0067753,-0.0078089,-0.0108677,0.0034808,-0.0011527,0.0051852,-0.0018613
The coordinates were generated using a bottom-up averaging approach based on available individual G25 samples.
For most cities, I used real individual coordinates available from public datasets and calculated city-level averages by averaging all samples assigned to that locality. To reduce noise caused by small sample sizes, I applied minor, realistic simulations (very small perturbations within expected intra-population variance), without altering overall population structure or relative affinities.
For cities or regions with insufficient or no direct samples, I created composite averages by combining nearby localities for which data are available. These combinations were selected based on:
geographic proximity
historical and demographic continuity
absence of known population discontinuities
The resulting composite averages were then treated as proxies for under-sampled areas.
The goal of this approach was not to claim exact population percentages, but to obtain internally consistent regional proxies suitable for relative comparison, distance testing, and sensitivity analysis within the G25 framework.
I am aware of the limitations of simulated and averaged datasets, and I welcome methodological feedback regarding sample selection, proxy choice, and interpretation limits.
Macedonian_Simulated,0.129087,0.1489938,0.0266811,-0.0048719,0.0271307,-0.0020918,0.0002072,0.0051305,0.0033724,0.0075239, 0.0052349,-0.0009358,0.0020222,0.0014541,-0.0048069,-0.0004535,0.0031183,-0.0016165,-0.0016661,-0.000544,-0.0029094,-0.0007401,0.0019464,-0.001731,-0.0007664 Macedonian_Skopje_Simulated,0.1294111,0.1484511,0. 02611,-0.0027145,0.0274775,-0.0012102,0.0015435,0.0063986,0.0011405,0.0056471, 0.0062678,-0.0001948,0.0022129,0.0020845,-0.0062462,-0.002667,0.0019584,-0.0011249,-0.0008641,-0.00107,-0.0040506,-0.0009942,0.0021432,-0.0010258,-0.0004848 Macedonian_Northeast_Simulated,0.1303002,0.1477492 ,0.0296236,0.0024764,0.0272429,0.0008668,0.0022497 ,0.0071706,0.0009023,0.0050785,0.0051968,-0.000039,0.0014601,0.0017602,-0.0057345,-0.0051891,0.0000623,-0.0007388,-0.0009611,-0.0013274,-0.0043152,-0.0007033,0.001335,-0.0007117,0.0009667 Macedonian_East_Simulated,0.1285553,0.1459225,0.03 09144,-0.0018901,0.0282536,-0.000935,0.0002202,0.0041118,0.0037086,0.0076921,0 .0029764,-0.0018961,0.0009563,0.0019054,-0.0067566,0.0024796,0.009779,-0.0008268,-0.0008968,0.0005083,-0.0033707,0.000505,0.0026898,-0.0011889,-0.001775 Macedonian_Southeast_Simulated,0.1278801,0.1484429 ,0.0234932,-0.0080124,0.0263873,-0.0045438,-0.0002723,0.004626,0.0031608,0.0071988,0.0051291,-0.0011819,0.0024961,0.0022997,-0.0050496,0.000305,0.0021033,-0.0019894,-0.0013848,-0.0010414,-0.0027974,-0.000062,0.0019769,-0.0018692,-0.0005948 Macedonian_Vardar_Simulated,0.1309959,0.1518769,0. 0256597,-0.0071726,0.0254275,-0.001573,-0.0004528,0.0046745,0.0025872,0.0069904,0.0063003,-0.0006665,0.00225,0.0000546,-0.0023845,-0.0008529,0.0005202,-0.0022696,-0.0029295,-0.0004402,-0.0019504,-0.0015275,0.0015198,-0.0020841,-0.0003178 Macedonian_Polog_Simulated,0.129886,0.1488922,0.02 79298,-0.0031365,0.0281222,-0.0015236,0.0005527,0.0050094,0.0028407,0.0071482, 0.0067893,-0.0004112,0.0026865,0.0026946,-0.0060464,-0.0022791,0.0013124,-0.001722,-0.0018412,-0.0016748,-0.003706,-0.0019671,0.0018545,-0.0027332,-0.0011678 Macedonian_Southwest_Simulated,0.1292582,0.1497615 ,0.024172,-0.0076316,0.0283086,-0.0042986,-0.0005041,0.0056835,0.0054351,0.0091046,0.0068983,-0.0009034,0.0030348,0.0010548,-0.0038858,-0.0013693,0.0007675,-0.0024115,-0.0028981,-0.0003854,-0.0021088,-0.0016899,0.0015271,-0.0023799,-0.0004903 Macedonian_Pelagonia_Simulated,0.1281059,0.1517776 ,0.0235866,-0.00752,0.0255981,-0.0024591,0.0002928,0.005636,0.0035652,0.0083274,0 .0054984,-0.0002955,0.0020358,0.0005331,-0.0028377,-0.0004209,0.000715,-0.0018076,-0.0014437,-0.0009539,-0.0024014,-0.001287,0.0019021,-0.0019845,-0.0010085 Macedonian_Torbesh_Simulated,0.123801,0.1481243,0. 0216143,-0.0149139,0.0254883,-0.0062743,-0.0003694,0.0033484,0.0043872,0.0139133,0.0051981, 0.000429,-0.0000371,-0.0000347,-0.0091908,0.001193,0.0066232,-0.0021609,-0.0004022,-0.0019293,-0.0047602,-0.001767,0.0033767,-0.0013867,-0.0034324
Macedonian_North_Skopje_Simulated,0.1294111,0.1484 511,0.02611,-0.0027145,0.0274775,-0.0012102,0.0015435,0.0063986,0.0011405,0.0056471, 0.0062678,-0.0001948,0.0022129,0.0020845,-0.0062462,-0.002667,0.0019584,-0.0011249,-0.0008641,-0.00107,-0.0040506,-0.0009942,0.0021432,-0.0010258,-0.0004848
Macedonian_Northeast_Kumanovo_Simulated,0.1301293, 0.147787,0.0299453,0.0050813,0.0278927,0.0018887,0 .0032153,0.0080927,-0.0000893,0.004768,0.0043973,0.0006383,0.0007383,0 .002155,-0.0065433,-0.007759,-0.001497,0.0001053,-0.0000647,-0.0019487,-0.0052463,-0.000335,0.0009883,0.0000837,0.0018217
Macedonian_Northeast_Kriva_Palanka_Simulated,0.130 349,0.1477384,0.0295317,0.0017322,0.0270572,0.0005 748,0.0019738,0.0069072,0.0011856,0.0051672,0.0054 252,-0.0002325,0.0016664,0.0016474,-0.0055034,-0.0044548,0.0005078,-0.00098,-0.0012172,-0.0011499,-0.0040492,-0.0008086,0.001434,-0.0009389,0.0007224
Macedonian_Northeast_Kratovo_Simulated,0.1304222,0 .1477223,0.0293938,0.0006158,0.0267787,0.0001368,0 .0015599,0.006512,0.0016106,0.0053002,0.0057678,-0.0005228,0.0019757,0.0014781,-0.0051568,-0.0033534,0.001176,-0.0013418,-0.0016014,-0.0008836,-0.0036502,-0.0009664,0.0015826,-0.0012798,0.000356
Macedonian_East_Probishtip_Simulated,0.1297543,0.1 475047,0.0301385,-0.0025498,0.0271963,-0.0012398,0.0000526,0.0044575,0.003285,0.0071802,0 .0044526,-0.0014566,0.0015336,0.0013339,-0.005364,0.0010792,0.0064032,-0.0014638,-0.0016496,0.0001466,-0.0029672,-0.0004056,0.0022848,-0.0016106,-0.001164
Macedonian_East_Shtip_Simulated,0.129623,0.1474192 ,0.0309835,-0.0010504,0.027646,-0.0015291,0.0005444,0.0052006,0.0037106,0.0065054, 0.0048126,-0.0017069,0.0021444,0.0014148,-0.0051595,0.0012058,0.0060219,-0.0016199,-0.0016346,0.0003245,-0.0029661,-0.000484,0.0022524,-0.0015568,-0.0010306
Macedonian_East_Kochani_Simulated,0.1298301,0.1450 562,0.0318664,-0.000662,0.0294482,-0.0003073,0.0000689,0.0044675,0.003345,0.006867,0. 0038139,-0.0018658,0.0014266,0.0014483,-0.0062516,0.0010951,0.0076366,-0.000526,-0.0016064,0.0004821,-0.0028324,0.0009061,0.002356,-0.0013154,-0.0023251
Macedonian_East_Vinica_Simulated,0.1297242,0.14438 21,0.0315884,-0.0014662,0.0296258,0.0001326,-0.0002809,0.003789,0.0030385,0.00742,0.0031419,-0.0018462,0.0008321,0.0015629,-0.0069266,0.0012627,0.0088791,-0.0000885,-0.0014373,0.0004772,-0.0028996,0.0014046,0.0024843,-0.0011889,-0.0027776
Macedonian_East_Makedonska_Kamenica_Simulated,0.12 96184,0.1437081,0.0313105,-0.0022703,0.0298034,0.0005726,-0.0006307,0.0031105,0.002732,0.007973,0.00247,-0.0018266,0.0002375,0.0016774,-0.0076015,0.0014304,0.0101215,0.000349,-0.0012681,0.0004724,-0.0029668,0.001903,0.0026127,-0.0010625,-0.00323
Macedonian_East_Delchevo_Simulated,0.1295125,0.143 034,0.0310325,-0.0030745,0.029981,0.0010125,-0.0009805,0.002432,0.0024255,0.008526,0.001798,-0.001807,-0.000357,0.001792,-0.0082765,0.001598,0.011364,0.0007865,-0.001099,0.0004675,-0.003034,0.0024015,0.002741,-0.000936,-0.0036825
Macedonian_East_Pehchevo_Simulated,0.1248517,0.147 1482,0.0303052,-0.0021035,0.0265015,-0.0028113,0.0015005,0.0043518,0.0053325,0.0086303, 0.0010365,-0.0026282,0.0007035,0.0034652,-0.0083678,0.0065237,0.015725,-0.0014813,0.0011738,0.0010412,-0.0048303,-0.0001303,0.0036145,-0.0005438,-0.000559
Macedonian_East_Berovo_Simulated,0.1255285,0.14912 75,0.03009,-0.001944,0.0258265,-0.0033105,0.001487,0.0050855,0.0058,0.008435,0.002 2855,-0.0020315,0.0011295,0.0025485,-0.006105,0.005642,0.012081,-0.0025705,0.0003465,0.000655,-0.004469,-0.0015555,0.0031725,-0.0012975,0.0005685
Macedonian_Southeast_Radovish_Simulated,0.1283914, 0.1487591,0.0242446,-0.007136,0.0269009,-0.0041968,-0.0003416,0.0050206,0.0036163,0.0073843,0.0056854,-0.0011513,0.0026968,0.0016856,-0.0045008,-0.000198,0.0018048,-0.002115,-0.0020491,-0.0006173,-0.0025906,-0.0005347,0.0017618,-0.0020394,-0.0005696
Macedonian_Southeast_Strumica_Simulated,0.1280148, 0.1484938,0.0233352,-0.0079315,0.0264083,-0.0045364,-0.0003055,0.0047843,0.0031714,0.007164,0.0053926,-0.0011438,0.0026162,0.0019876,-0.0046718,0.00005,0.0017104,-0.0020604,-0.001707,-0.0009006,-0.0026668,-0.0002802,0.0018504,-0.0019687,-0.0005608
Macedonian_Southeast_Valandovo_Simulated,0.1279948 ,0.1487187,0.0235774,-0.0080094,0.0266484,-0.0045416,-0.000362,0.004729,0.0034469,0.0074277,0.0053312,-0.0011501,0.0025658,0.002199,-0.0049751,0.0000865,0.001913,-0.0020493,-0.0015668,-0.0009662,-0.002748,-0.0001814,0.0019086,-0.0019317,-0.0005708
Macedonian_Southeast_Gevgelija_Simulated,0.127308, 0.1482222,0.0233364,-0.0087574,0.02609,-0.0047892,-0.0001895,0.0040806,0.0029312,0.0072212,0.0042986,-0.001268,0.0021455,0.0032997,-0.0061462,0.0010777,0.0030245,-0.0017836,-0.000358,-0.0015807,-0.0031799,0.0006497,0.0023507,-0.0015776,-0.0006716
Macedonian_Southeast_Bogdanci_Simulated,0.1276915, 0.1480207,0.0229723,-0.0082276,0.025889,-0.0046549,-0.0001628,0.0045154,0.002638,0.006797,0.0049377,-0.0011963,0.0024564,0.0023266,-0.0049541,0.000509,0.0020636,-0.0019387,-0.0012429,-0.0011423,-0.0028016,0.0000365,0.0020132,-0.0018286,-0.0006011
Macedonian_Vardar_Sveti_Nikole_Simulated,0.130511, 0.1495633,0.0281969,-0.0039421,0.0255235,-0.0013175,0.0003034,0.0047756,0.0021156,0.0072041, 0.0050109,-0.0000592,0.0005421,-0.0003738,-0.0024126,-0.000642,0.0018745,-0.0021067,-0.0026759,-0.0007469,-0.002222,-0.001639,0.0016071,-0.0023857,-0.0003522
Macedonian_Vardar_Veles_Simulated,0.130807,0.15027 8,0.027268,-0.004906,0.024816,-0.001247,0.000223,0.004634,0.001584,0.007437,0.005 077,0.000490,0.000008,-0.000970,-0.001497,-0.001258,0.000492,-0.002269,-0.003023,-0.001104,-0.001974,-0.002024,0.001392,-0.002662,-0.000126
Macedonian_Vardar_Kavadarci_Simulated,0.130698,0.1 51925,0.022937,-0.010904,0.025323,-0.002010,-0.001039,0.004466,0.002101,0.007591,0.006930,-0.000576,0.002391,0.000285,-0.003233,-0.001351,0.001009,-0.002727,-0.003635,-0.000808,-0.002398,-0.002084,0.001765,-0.003144,-0.000193
Macedonian_Vardar_Negotino_Simulated,0.1310975,0.1 5228,0.0244306,-0.0083891,0.0255032,-0.0014967,-0.0005166,0.0048867,0.0020892,0.0063137,0.0070984,-0.0009435,0.0029978,0.0004357,-0.0029198,-0.0010673,0.0005793,-0.0025271,-0.0033105,-0.0005133,-0.00221,-0.0016857,0.0016717,-0.0025496,-0.000324
Macedonian_Vardar_Demir_Kapija_Simulated,0.131866, 0.155338,0.025466,-0.007722,0.025972,-0.001794,-0.001235,0.004610,0.005046,0.006406,0.007385,-0.002244,0.005311,0.000896,-0.001860,0.000054,-0.001354,-0.001718,-0.002003,0.000971,-0.000948,-0.000205,0.001163,0.000321,-0.000594
Macedonian_Northwest_Polog_Tetovo_Simulated,0.1301 122,0.148812,0.0283336,-0.0027675,0.0282096,-0.001167,0.0009624,0.0052664,0.0025354,0.0070302,0 .006745,-0.000327,0.0026366,0.0028723,-0.0063335,-0.0024356,0.0013388,-0.0016366,-0.001736,-0.001818,-0.0039025,-0.0020686,0.0019064,-0.0028052,-0.001248
Macedonian_Northwest_Polog_Gostivar_Simulated,0.12 96598,0.1489725,0.0275261,-0.0035055,0.0280349,-0.0018802,0.000143,0.0047523,0.003146,0.0072663,0. 0068336,-0.0004954,0.0027364,0.0025169,-0.0057594,-0.0021226,0.0012861,-0.0018073,-0.0019463,-0.0015315,-0.0035094,-0.0018656,0.0018026,-0.0026611,-0.0010876
Macedonian_West_Makedonski_Brod_Simulated,0.128755 ,0.1492934,0.0259112,-0.0049814,0.0276854,-0.0033065,-0.0014957,0.0037242,0.0043671,0.0077386,0.0070108,-0.0008322,0.002936,0.0018061,-0.0046113,-0.0014966,0.0011808,-0.0021488,-0.002367,-0.0009584,-0.0027232,-0.0014596,0.0015949,-0.0023729,-0.0007669
Macedonian_West_Kichevo_Simulated,0.1297913,0.1521 032,0.0228786,-0.0031475,0.0278742,-0.0049945,0.0009562,0.0060904,0.0031986,0.0074764, 0.0058002,-0.0003174,0.0015446,0.0000974,-0.0017662,-0.0007194,0.0000256,-0.0022323,-0.0025993,-0.0008086,-0.0016506,-0.0013914,0.0011838,-0.0021744,-0.0009364
Macedonian_West_Debar_Simulated,0.129291,0.1519577 ,0.024903,-0.011953,0.0290103,-0.0053093,-0.0009957,0.0076373,0.0101737,0.0103603,0.0083807,-0.0027343,0.0066883,0.0011277,-0.0040777,-0.0009593,-0.0002243,-0.002476,-0.0031557,0.0014467,-0.0015537,-0.001159,0.0014487,-0.001253,-0.0004067
Macedonian_West_Pelagonia_Krushevo_Simulated,0.128 2856,0.1516239,0.0233593,-0.0054302,0.0269912,-0.0033127,0.0008878,0.0057133,0.003347,0.0079612,0 .0055471,-0.0002603,0.001683,0.0010233,-0.0030625,-0.0006682,0.0007132,-0.0018241,-0.0016036,-0.0013122,-0.0023065,-0.0011139,0.0014985,-0.0019371,-0.0009742
Macedonian_Southwest_Struga_Simulated,0.129499,0.1 46389,0.023875,-0.010253,0.030136,-0.004561,-0.001284,0.005556,0.005753,0.010842,0.007447,-0.000544,0.002525,0.000575,-0.004629,-0.002283,0.001660,-0.003043,-0.003961,-0.000565,-0.002567,-0.002381,0.001886,-0.003412,0.000037
Macedonian_Southwest_Ohrid_Simulated,0.1289549,0.1 490643,0.0232924,-0.0078229,0.0268372,-0.0033219,0.0002988,0.0054096,0.0036829,0.0091056, 0.0058529,-0.0000889,0.0014801,0.001668,-0.0043446,-0.0013884,0.0011952,-0.0021576,-0.0024075,-0.0010417,-0.0020496,-0.0020587,0.001522,-0.0026872,-0.0003784
Macedonian_Southwest_Pelagonia_Prespa_Simulated,0. 129126,0.150211,0.023207,-0.008585,0.024318,-0.002273,0.000347,0.005662,0.003129,0.008369,0.005 339,-0.000205,0.001440,-0.000746,-0.001567,-0.000857,0.000014,-0.002187,-0.002937,-0.000521,-0.001666,-0.001714,0.001318,-0.002112,-0.000148
Macedonian_Southwest_Pelagonia_Bitola_Simulated,0. 126931,0.150025,0.0243387,-0.0079873,0.023926,-0.0011407,-0.0007117,0.0044367,0.003099,0.0086297,0.004999,0. 0001813,0.0022787,0.0018767,-0.0048323,0.0003877,0.0023007,-0.0010267,0.0018053,-0.0016863,-0.0039813,-0.0010457,0.0036333,-0.0018317,-0.002424
Macedonian_Southwest_Pelagonia_Prilep_Simulated,0. 128262,0.155215,0.023472,-0.009103,0.026339,-0.002802,0.000331,0.006734,0.004742,0.008504,0.006 092,-0.000914,0.002856,-0.000539,-0.001479,-0.000463,-0.000321,-0.002271,-0.003227,0.000007,-0.001550,-0.001449,0.001283,-0.002124,-0.000407
Macedonian_Southwest_Pelagonia_Demir_Hisar_Simulat ed,0.1279251,0.151813,0.0235559,-0.0064943,0.0264162,-0.0027672,0.0006097,0.0056342,0.003509,0.0081732,0 .005515,-0.0002796,0.0019214,0.0010504,-0.0032478,-0.0005042,0.0008683,-0.0017292,-0.001256,-0.001257,-0.0025032,-0.0011126,0.0017778,-0.0019176,-0.0010892
Macedonian_Florina_Simulated,0.132061,0.151932,0.0 25772,-0.005481,0.024305,0.001115,0.004217,0.005689,-0.000821,0.007392,0.005212,0.001087,0.002406,0.003 874,-0.004812,0.000295,0.006928,0.001001,0.003582,-0.001641,-0.003681,-0.000526,0.004127,-0.000844,-0.002981
Macedonian_Torbesh_Simulated,0.123801,0.1481243,0. 0216143,-0.0149139,0.0254883,-0.0062743,-0.0003694,0.0033484,0.0043872,0.0139133,0.0051981, 0.000429,-0.0000371,-0.0000347,-0.0091908,0.001193,0.0066232,-0.0021609,-0.0004022,-0.0019293,-0.0047602,-0.001767,0.0033767,-0.0013867,-0.0034324
Balto_Slavic,0.1304588,0.1257191,0.072219,0.056103 6,0.0381718,0.0218909,0.008108,0.0115526,0.0023048 ,-0.0165642,-0.000067,-0.005629,0.011202,0.0164878,-0.0093543,0.0005452,0.0028027,0.0005556,0.0013039, 0.0019853,0.000127,-0.0025254,0.0059456,-0.0076607,-0.0020462
Eastern_Roman_Anatolian,0.1073731,0.1481632,-0.0318813,-0.0632749,-0.0014046,-0.0231908,0.0001687,-0.0052069,-0.0072632,0.018303,0.0043595,0.0033508,-0.0056643,0.0032042,-0.0141531,-0.0030666,0.0056132,0.0007277,0.0049216,-0.0047843,-0.0031803,0.002622,-0.0017634,-0.0007879,-0.0014277
Paleo_Balkan,0.1263202,0.1475728,0.0222618,-0.0180711,0.0276163,-0.0079778,0.0007648,0.0004037,0.003973,0.0277402,0 .0024898,0.0070693,-0.014563,-0.0051482,-0.0110118,-0.0012025,0.0053255,0.0004367,0.0067753,-0.0078089,-0.0108677,0.0034808,-0.0011527,0.0051852,-0.0018613
The coordinates were generated using a bottom-up averaging approach based on available individual G25 samples.
For most cities, I used real individual coordinates available from public datasets and calculated city-level averages by averaging all samples assigned to that locality. To reduce noise caused by small sample sizes, I applied minor, realistic simulations (very small perturbations within expected intra-population variance), without altering overall population structure or relative affinities.
For cities or regions with insufficient or no direct samples, I created composite averages by combining nearby localities for which data are available. These combinations were selected based on:
geographic proximity
historical and demographic continuity
absence of known population discontinuities
The resulting composite averages were then treated as proxies for under-sampled areas.
The goal of this approach was not to claim exact population percentages, but to obtain internally consistent regional proxies suitable for relative comparison, distance testing, and sensitivity analysis within the G25 framework.
I am aware of the limitations of simulated and averaged datasets, and I welcome methodological feedback regarding sample selection, proxy choice, and interpretation limits.